DISCRETE MATH: Use rules of inference to show that

Use rules of inference to show that if [tex]\forall\,x\,(P(x)\,\vee\,Q(x))[/tex] and [tex]\forall\,x\,((\neg\,P(x)\,\wedge\,Q(x))\,\longrightarrow\,R(x))[/tex] are true, then [tex]\forall\,x\,(\neg\,R(x)\,\longrightarrow\,P(x))[/tex] is true.